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Finding the Fourth Proportional to 3,893.94, 5,840.91 and 1,297.08

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Solution

The fourth proportional to 3,893.94, 5,840.91 and 1,297.08 is: 1,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.94 : 5,840.91 = 1,297.08 : x
  2. Step 2: Convert to fraction form
    3,893.94/5,840.91 = 1,297.08/x
  3. Step 3: Cross multiply
    3,893.94x = 5,840.91 × 1,297.08
  4. Step 4: Simplify right side
    3,893.94x = 7,576,127.54
  5. Step 5: Solve for x
    x = 7,576,127.54/3,893.94
  6. Step 6: Final answer
    x = 1,945.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.